https://doi.org/10.1140/epjc/s10052-014-3187-6
Regular Article - Theoretical Physics
Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background
1
Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR, 84030-900, Brazil
2
Departamento de Física, Universidade Federal do Maranhão, Campus Universitário do Bacanga, São Luís, MA, 65085-580, Brazil
* e-mail: fmandrade@uepg.br
Received:
20
May
2014
Accepted:
20
November
2014
Published online:
10
December
2014
In this work the dynamics of a 2D Dirac oscillator in the spacetime of a magnetic cosmic string is considered. It is shown that earlier approaches to this problem have neglected a $$\delta $$ function contribution to the full Hamiltonian, which comes from the Zeeman interaction. The inclusion of spin effects leads to results which confirm a modified dynamics. Based on the self-adjoint extension method, we determined the most relevant physical quantities, such as energy spectrum, wave functions and the self-adjoint extension parameter by applying boundary conditions allowed by the system.
© SIF and Springer-Verlag Berlin Heidelberg, 2014
